What two numbers add up to 2314?

There are infinite combinations of two numbers that add up to 2314. Here are some examples using negative numbers:

-1 + 2315 = 2314
-2 + 2316 = 2314
-3 + 2317 = 2314
...

Here are some examples using two fractions that will add up to 2314:

2314/2 + 2314/2 = 2314
4628/3 + 2314/3 = 2314
6942/4 + 2314/4 = 2314
...

And here are some examples using two decimal numbers that will add up to 2314:

1.25 + 2312.75 = 2314
2.50 + 2311.5 = 2314
3.75 + 2310.25 = 2314
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2314?", it may be more interesting to set some criteria to limit the result. We will set the follow criteria:

1) Only positive whole numbers can add up to 2314. (0 is not a positive or negative number and should not be included.)

2) Since a+b=29 is the same as b+a=29, we should only list it once.

Now, the answer to "What two numbers add up to 2314?" has 1157 answers:

1 + 2313 = 2314
2 + 2312 = 2314
3 + 2311 = 2314
.
.
1155 + 1159 = 2314
1156 + 1158 = 2314
1157 + 1157 = 2314

We have truncated the list above due to space, but you may be interested to know that we calculated the number of answers by dividing 2314 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 2315?
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